Prove that in a trapezoid, if the non-parallel sides are congruent, the angles adjacent to each base are supplementary.
Answer 1
Dennis Fleming
In an isosceles trapezoid, the non-parallel sides are congruent. By the properties of trapezoids, the angles adjacent to each base are supplementary. This can be proven by considering the parallel lines and transversal properties, where the sum of the interior angles on the same side of the transversal is 180 degrees.
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